If α and β are roots of the equation, x^2-4 √ 2 k x+2 e^4 ln k-1=0 for some k, and α^2+β^2=66, then α^3+β^3 is equal to:

If $\displaystyle \alpha$ and $\displaystyle \beta$ are roots of the equation, $\displaystyle x^2-4 \sqrt{2} k x+2 e^{4 \ln k}-1=0$ for some $\displaystyle k$, and $\displaystyle \alpha^2+\beta^2=66$, then $\displaystyle \alpha^3+\beta^3$ is equal to: